Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080l |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1771200 = -1 · 26 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -3 -4 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,1026] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:45:1] [7:5:1] |
Generators of the group modulo torsion |
j |
-452984832/1025 |
j-invariant |
L |
11.602066172423 |
L(r)(E,1)/r! |
Ω |
2.6533771016868 |
Real period |
R |
1.0931414689336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080dk1 1845a1 118080f1 |
Quadratic twists by: -4 8 -3 |